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This text introduces engineering students to probability theory and stochastic processes. Along with thorough mathematical development of the subject, the book presents intuitive explanations of key points in order to give students the insights they need to apply math to practical engineering problems. The first seven chapters contain the core material that is essential to any introductory course. In one-semester undergraduate courses, instructors can select material from the remaining chapters to meet their individual goals. Graduate courses can cover all chapters in one semester.
Table of Contents
Chapter 1. Experiments, Models, and Probabilities
Chapter 2. Sequential Experiments
Chapter 3. Discrete Random Variables
Chapter 4. Continuous Random Variables
Chapter 5. Multiple Random Vectors
Chapter 6. Probability Models of Derived Random Variables
Chapter 7. Conditional Probability Models
Chapter 8. Random Vectors
Chapter 9. Sums of Random Variables
Chapter 10. The Sample Mean
Chapter 11. Hypothesis Testing
Chapter 12. Estimation of a Random Variable
Chapter 13. Stochastic Processes